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x.diff(x)*y-9*x=y^4*cos(4*y) equation

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//x  for 0 = 1\                      
||            |            4         
|<1  for 1 = 1|*y - 9*x = y *cos(4*y)
||            |                      
\\0  otherwise/                      
$$- 9 x + y \left(\begin{cases} x & \text{for}\: 0 = 1 \\1 & \text{for}\: 1 = 1 \\0 & \text{otherwise} \end{cases}\right) = y^{4} \cos{\left(4 y \right)}$$
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